152905825 has 24 divisors (see below), whose sum is σ = 200294720. Its totient is φ = 115473600.

The previous prime is 152905811. The next prime is 152905891. The reversal of 152905825 is 528509251.

It is not a de Polignac number, because 152905825 - 2¹⁵ = 152873057 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230995 + ... + 231655.

Almost surely, 2^152905825 is an apocalyptic number.

152905825 is the 6610-th nonagonal number.

It is an amenable number.

152905825 is a deficient number, since it is larger than the sum of its proper divisors (47388895).

152905825 is a wasteful number, since it uses less digits than its factorization.

152905825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The square root of 152905825 is about 12365.5094921317. The cubic root of 152905825 is about 534.7383645158.

It can be divided in two parts, 15290 and 5825, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 152905825 in words is "one hundred fifty-two million, nine hundred five thousand, eight hundred twenty-five".